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» Profinite Heyting Algebras
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IGPL
2011
12 years 10 months ago
Generalized ordinal sums and translations
We extend the lattice embedding of the axiomatic extensions of the positive fragment of intuitionistic logic into the axiomatic extensions of intuitionistic logic to the setting of...
Nikolaos Galatos
DAM
2008
125views more  DAM 2008»
13 years 6 months ago
Heyting algebras with Boolean operators for rough sets and information retrieval applications
This paper presents an algebraic formalism for reasoning on finite increasing sequences over Boolean algebras in general and on generalizations of Rough Set concepts in particular...
Eric SanJuan
IGPL
2011
12 years 10 months ago
Interpolation and FEP for logics of residuated algebras
A residuated algebra (RA) is a generalization of a residuated groupoid; instead of one basic binary operation · with residual operations \, /, it admits finitely many basic oper...
Wojciech Buszkowski
FSS
2008
82views more  FSS 2008»
13 years 6 months ago
Lattice-valued convergence spaces and regularity
: We define a regularity axiom for lattice-valued convergence spaces where the lattice is a complete Heyting algebra. To this end, we generalize the characterization of regularity ...
Gunther Jäger
TCS
2008
13 years 6 months ago
Turing machines and bimachines
We associate the iterated block product of a bimachine with a deterministic Turing machine. This allows us to introduce new algebraic notions to study the behavior of the Turing m...
John Rhodes, Pedro V. Silva